Lie Color Algebras And Generalized Lie Triple Derivations

In this thesis, we first obtain some properties of solvable, nilpotent and completeLie color algebras. Second, we give the concepts of (generalized)(θ,)-Lie triplederivations and (generalized) Jordan (θ,)-Lie triple derivations on a Lie color algebraand prove that Jordan (θ,)-Lie triple derivations (resp. generalized Jordan (θ,)-Lie triple derivations) are (θ,)-Lie triple derivations (resp. generalized (θ,)-Lietriple derivations) on a Lie color algebra under some conditions. In particular, Jordanθ-Lie triple derivations are θ-Lie triple derivations on a Lie color algebra.